Covariate bias induced by length-biased sampling of failure times

Journal of the American Statistical Association

Volumn 103, Issue 482, 2008, Pages 737-742

  Bergeron, Pierre Jérôme ^a   Asgharian, Masoud ^b   Wolfson, David B ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b MCGILL UNIVERSITY   (Canada)

Author keywords

Asymptotic efficiency; Cross sectional sampling; Left truncation; Length biased sampling; Prevalent cohort; Right censoring

Indexed keywords

EID: 49549125409     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214508000000382     Document Type: Article

References (14)

1. Asgharian, M., and Wolfson, D. B. (2005), "Asymptotic Behaviour of the NPMLE of the Survivor Function When the Data Are Length-Biased and Subject to Right Censoring," The Annals of Statistics, 33, 2109-2131.
2. Asgharian, M., M'Lan, C. E., and Wolfson, D. B. (2002), "Length-Biased Sampling With Right Censoring: An Unconditional Approach," Journal of the American Statistical Association, 97, 201-209.
3. Begg, C. B., and Gray, R. J. (1987), "Methodology for Case-Control Studies With Prevalent Cases," Biometrika, 4, 191-195.
4. Bergeron, P.-J., and Asgharian, M. (2006), "Covariates and Length-Biased Sampling: Is There More Than Meets the Eye?" Technical Report 2006-03, McGiIl University, Dept. of Mathematics and Statistics.
5. Blumenthal, S. (1967), "Proportional Sampling in Life Length Studies," Technometrics, 9, 205-218.
6. Correa, J. A., and Wolfson, D. B. (1999), "Length-Bias: Some Characterizations and Applications," Journal of Statistical Computation and Simulation, 64, 209-219.
7. Cox, D. R. (1969), "Some Sampling Problems in Technology," in New Developments in Survey Sampling, eds. N. L. Johnson and H. Smith, New York: Wiley, pp. 506-527.
8. McFadden, J. A. (1962), "On the Lengths of Intervals in a Stationary Point Process," Journal of the Royal Statistical Society, Ser. B, 24, 364-382.
9. Patil, G. P., and Rao, C. R. (1978), "Weighted Distributions and Size-Biased Sampling With Applications to Wildlife Population and Human Families," Biometrics, 34, 179-189.
10. Patil, G. P., Rao, C. R., and Zelen, M. (1988), "Weighted Distributions," in Encyclopedia of Statistical Sciences, eds. S. Kotz and N. L. Johnson, New York: Wiley, pp. 565-571.
11. Vardi, Y. (1982), "Nonparametric Estimation in the Presence of Length Bias," The Annals of Statistics, 10, 616-620.
12. _ (1989), "Multiplicative Censoring, Renewal Processes, Deconvolution and Decreasing Density," Biometrika, 76, 751-761.
13. Wang, M.-C. (1991), "Nonparametric Estimation From Cross-Sectional Survival Data," Journal of the American Statistical Association, 86, 130-143.
14. Wicksell, S. D. (1925), "The Corpuscle Problem. A Mathematical Study of a Biometrie Problem," Biometrika, 17, 1/2, 84-99.